%0 Journal Article
%@ 0022-1120
%A Page, MA
%A Johnson, ER
%D 2009
%F discovery:101256
%I CAMBRIDGE UNIV PRESS
%J J FLUID MECH
%K BOUNDARY, FLUID
%P 299 - 309
%T Steady nonlinear diffusion-driven flow
%U https://discovery.ucl.ac.uk/id/eprint/101256/
%V 629
%X An imposed normal temperature gradient on a sloping surface in a viscous stratified fluid can generate a slow steady flow along a thin 'buoyancy layer' against that surface, and in a contained fluid the associated mass flux leads to a broader-scale,outer flow'. Previous analysis for small values of the Wunsch-Phillips parameter R is extended to the nonlinear case in a contained fluid, when the imposed temperature gradient is comparable with the background temperature gradient. As for the linear case, a compatibility condition relates the buoyancy-layer mass flux along each sloping boundary to the outer-flow temperature gradient. This condition allows the leading-order flow to be determined throughout the container for a variety of configurations.
%Z © 2009 Cambridge University Press